If I spent 3.87 on grapes at Tom Thumb and I bought 3.05 pounds how much was each pound round to the nearest hundredths because it is money

The total change in temperature is 17.5 degrees Fahrenheit, calculated by subtracting a decrease from an increase of temperature.

The temperature decreased by 5 degrees Fahrenheit in the first hour and by 2 degrees Fahrenheit in each of the next 7 hours, which gives a total decrease of 5 + 2*7 = 19 degrees Fahrenheit.

The temperature then increased by 14.5 degrees Fahrenheit the next morning and by 11 degrees Fahrenheit that afternoon, which gives a total increase of 14.5 + 11 = 25.5 degrees Fahrenheit.

Therefore, the total change in temperature is the sum of the decrease and increase, which is 19 - 25.5 = -6.5 degrees Fahrenheit. However, since we are interested in the total change regardless of direction, we take the absolute value of this, which is 6.5 degrees Fahrenheit.

Finally, we add this absolute value to the total increase to get the total change in temperature: 6.5 + 25.5 = 32 degrees Fahrenheit.

Therefore, the total change in temperature is 17.5 degrees Fahrenheit (which is half of 32, since the temperature decreased and then increased).

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Answer:6.5

Step-by-step explanation:

E

To find the length of the hypotenuse c in a right triangle with legs a = 16 and b = 30, we can use the Pythagorean theorem:

c^2 = a^2 + b^2

Substituting the given values, we get:

c^2 = 16^2 + 30^2

c^2 = 256 + 900

c^2 = 1156

Taking the square root of both sides, we get:

c = √1156

c ≈ 34.0 (rounded to the nearest tenth)

Therefore, the length of the hypotenuse c in the right triangle is approximately 34.0 units.

To convert 800 mm to inches, divide 800 by 25.4. The result is 2 feet and 7.5 inches.

The metric and imperial systems are two ways to measure length, with the metric system being more widely used in the world and the imperial system being predominantly used in the United States.

800mm (millimeters) can be converted to inches and feet by using the conversion factors: 1 inch = 25.4mm, and 1 foot = 12 inches.

To convert 800 mm to feet, first convert 800mm to inches as described above (800/25.4 = 31.5 inches). Then divide 31.5 by 12 to get the equivalent length in feet. The result is 2 feet and 7.5 inches.

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The equation of a line is y = -1/3x - 4

The general formula for the equation of a line is expressed as;

y = mx + c

Given that the parameters are;

From the information given, we have that;

Slope, m = -1/3

Substitute the values

-1 = -1/3(-9) + c

expand the bracket

-1 = 3 + c

collect like terms

= -4

Hence, the equation is y = -1/3x - 4

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Answer: 65π

Step-by-step explanation:

you can draw the cone to make it easier for you to understand.

to find the curved surface area of a cone, you multiply the base radius of the cone by pie. Then multiply your answer by the length of the side of the cone.

to do this you need the length of the side and the radius of the cone.

to find radius, divide the diameter by 2.

\(\frac{10}{2}\) = 5

then use the right angle triangle in the cone to find the length of the side

use Pythagoras theorem which  states that a² + b²= c²

a= 5, b= 12, c= x (length of side)

∴\(x^{2} 5^{2} + 12^2 =x^{2} \\25 + 144 = x^{2} \\169= x^{2} \\x=\sqrt{169} \\x= 13\)

no that you have found the length

multiply the base radius by pie

which is:

5 ×π = 5π

then multiply this by the length of the side

5π × 13 = 65π

there you go!

hope it helps!

Answer:

5 x^2  + 2y^2  + 12x + 5y

Step-by-step explanation:

6x + 2y +y^2 + 6x + 2y + y^2 + 4x^2 + x^2 + y

12x +y^2 + 4y + y^2 + 4x^2 + x^2 + y

12x + 2y^2 + 4x^2 + x^2 + 5y

2y^2 + 5x^2 + 12x + 5y

5 x^2  + 2y^2  + 12x + 5y

The equation of the parabola is y = -1/3 (\(x^2\)+4x).

What is parabola ?

  A bowl-shaped object forms a curve when the surface of the cone intersects a plane perpendicular to a straight line. Another curve is created when the moving point is moved such that the distance from the fixed point is equal to the distance from the fixed line. A parabola is a U-shaped curve representing the graph of a quadratic function. Graph of the equation y=x2,

Here the equation of the parabola is

=> y= a\(x^2\)+bx+c.

Now pt given points to find value of a, b, c .

=> y = a(x-p)(x-q)

=> y = a(x+2-2)(x+2+2)

=> y = a(x)(x+4)

Here the line passes through the point ,

(x,y) = (-1,1)

=> 1 = a(-1)(-1+4)

=> 1 = a (-3)

=> a = -1/3.

Now the equation is ,

y = a (x)(x+4)

=> y = -1/3 (\(x^2\)+4x)

Therefore the equation of the parabola is y = -1/3 (\(x^2\)+4x).

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The function f(x)=x3−x2−8x+12 has an absolute maximum value of 26 at x = -2 and an absolute minimum value of 107/27 at x = 2/3 over the interval [-2, 0].

The absolute maximum and minimum values of the function f(x) = x^3 - x^2 - 8x + 12 over the interval [-2, 0], follow these steps:

1. First, find the critical points of the function by taking the derivative and setting it to zero: f'(x) = 3x^2 - 2x - 8. Solve for x to find the critical points.

2. Next, determine which critical points lie within the interval [-2, 0]. If any critical points lie outside this interval, disregard them.

3. Now, evaluate the function at the endpoints of the interval and at the critical points within the interval. This will give you the values of the function at these points.

4. Compare the function values to determine the absolute maximum and minimum values over the interval. The highest value is the absolute maximum, and the lowest value is the absolute minimum.

5. Finally, identify the x-values at which the absolute maximum and minimum values occur. These are the points where the function achieves its highest and lowest values, respectively.

By following these steps, you'll be able to determine the absolute maximum and minimum values of the function f(x) = x^3 - x^2 - 8x + 12 over the interval [-2, 0] and the x-values at which they occur.

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Answer:

h(x) = 1

Step-by-step explanation:

h(x) = both of these equations, but really only -6. Plug in 1 to x in the equation and it will equal -6.

Hope this helps

The value of x when h(x) is 6 can be obtained by replacing h(x) with 6 and solving for x in this case we get x is equal to - 7/5.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, h(x) = - 5x - 1.

Now, to solve for x when h(x) = 6 we'll simply replace h(x) with 6.

∴ h(x) = - 5x - 1.

6 = - 5x - 1.

5x = - 1 - 6.

5x = - 7.

x = - 7/5.

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To find two real numbers that have a sum of 14 and a product of 38, we can set up a system of equations. Let's call the two numbers x and y.

From the problem statement, we have the following information:

Equation 1: x + y = 14 (sum of the two numbers is 14)

Equation 2: xy = 38 (product of the two numbers is 38)

To solve this system of equations, we can use substitution or elimination method. Let's solve it using substitution:

From Equation 1, we can express y in terms of x by subtracting x from both sides:

y = 14 - x

Now we substitute this value of y into Equation 2:

x(14 - x) = 38

Expanding the equation, we have:

14x - x^2 = 38

Rearranging the equation to bring it to quadratic form:

x^2 - 14x + 38 = 0

Now we can solve this quadratic equation. We can either factorize it or use the quadratic formula. However, upon examining the equation, we find that it doesn't factorize easily. Therefore, we'll use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a

For our quadratic equation, the coefficients are:

a = 1, b = -14, c = 38

Substituting these values into the quadratic formula, we have:

x = (-(-14) ± √((-14)^2 - 4(1)(38))) / (2(1))

x = (14 ± √(196 - 152)) / 2

x = (14 ± √44) / 2

x = (14 ± 2√11) / 2

Simplifying further, we have:

x = 7 ± √11

So we have two possible values for x: 7 + √11 and 7 - √11.

To find the corresponding values of y, we can substitute these values of x back into Equation 1:

For x = 7 + √11, y = 14 - (7 + √11) = 7 - √11

For x = 7 - √11, y = 14 - (7 - √11) = 7 + √11

Therefore, the two real numbers that have a sum of 14 and a product of 38 are (7 + √11) and (7 - √11).

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Answer:

The answer to f is 9 hope this helps can you make me answer brianlest

The rate of change of the function that has a graph that passes

through the points (-1, 3) and (-2,-4) is slope and is equal to 7.

We have given two points  (-1, 3) and (-2,-4) .

Rate of change of graph is given by slope

Using slope formula , we get

      m = -4 - 3 / -2 - (-1)

      m = -7 / -2 + 1

      m = -7 / -1

       m = 7

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Answer:

I got answer of question 26 form internet

I don't know anything about graph yet

hope this helps you

Edna should leave at 2:07 PM in order to arrive at Jake's party by 2:30 PM

To determine the time Edna should leave, we need to subtract the travel time from the desired arrival time.

If Edna needs to be at Jake's party at 2:30 PM and it takes her 23 minutes to drive there, she should leave 23 minutes before 2:30 PM.

To calculate the departure time, we subtract 23 minutes from 2:30 PM:

2:30 PM - 23 minutes = 2:07 PM

Therefore, Edna should leave at 2:07 PM in order to arrive at Jake's party by 2:30 PM

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18 handshakes take place.

Given that four politicians and three lawyers attend a party. Each politician shakes hands exactly once with everyone, and each lawyer shakes hands exactly once with each politician. We need to find out the number of handshakes that take place. So, we can solve it as below:

First, let us find out how many handshakes take place among politicians. Since there are four politicians and each politician shakes hands exactly once with everyone. Thus, the total number of handshakes that take place between politicians = 3 + 2 + 1 = 6

Next, let us find out how many handshakes take place between lawyers. Since there are three lawyers and each lawyer shakes hands exactly once with each politician. Thus, the total number of handshakes that take place between lawyers and politicians = 3 × 4 = 12

Therefore, the total number of handshakes = Number of handshakes between politicians + Number of handshakes between lawyers and politicians= 6 + 12= 18

Hence, 18 handshakes take place.

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Answer:

Apparently it's 4800 according to desmos.

Step-by-step explanation:

Step-by-step explanation:

x y

-3 150

-2 300

-1 600

0 4800

As you can see, for negative values of x, the area burned becomes smaller and smaller as x becomes more negative. This is because the equation y = 4800(2)^x has a base of 2, which means that as x becomes more negative, 2^x becomes smaller and smaller, causing y to become smaller and smaller as well.

Answer:

17.5, divide 70 by 4

Step-by-step explanation:

what i said above

The required maximum area of the rectangle is 17.5m

Given,

The perimeter of a rectangle is = 70m.

We have to find ,

The maximum area of rectangle .

A rectangle will have the maximum possible area for a given perimeter when all the sides are the same length. Since every rectangle has four sides, if you know the perimeter, divide it by four.

Then,

To find the length of each side. Then find the area by multiplying the length times the width.

Length is = 70m

Maximum area of rectangle is = \(\frac{perimeter}{4}\)

                                                    =  \(\frac{70}{4}\)

                                                    = 17.5

The required value of maximum area of the rectangle is 17.5m.

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Answer:

40 meters

Step-by-step explanation:

x=4

3x-4=12-4

2x-3=8-3

12-4=8

8-3=5

8x5=40

Answer:

do the answer is 24

in the picture there's the steps

Answer:

Step-by-step explanation:

since they are similar triangle use this ratio

AB/DE=AC/DF

4/12=8/3(x+1)

do cross multiplication

12*8=3*4(x+1)

96=12(x+1)

96=12x+12

96-12=12x

84/12=x

7=x

substitute the value of x

3(x+1)

3(7+1)

3*8

24

Answer:

425.43

Step-by-step explanation:

A = P(1+r)^n

A = 350(1.05)^4

To specify the orientation of the plane of a paper, the following single line can be used: "Hold the paper such that the plane of the paper is perpendicular to the direction of the gravity.

This means that if you hold the paper and drop a plumb line, the line should be parallel to the edge of the paper. This way, anyone can hold the paper in the same or a parallel plane, thus ensuring that the orientation is consistent.An alternate line to specify the orientation of the plane of a paper is: "Hold the paper such that the plane of the paper is parallel to the surface of the earth." This means that if you hold the paper and look at it from the top, the surface of the paper should appear to be parallel to the ground. By using either of these lines, one can specify the orientation of the paper's plane.

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Answer:

9/25

Step-by-step explanation:

Microeconomics is a branch of economics that focuses on the behavior of individuals and firms in making decisions regarding the allocation of limited resources

Microeconomics is a branch of economics that studies the behavior of individuals and firms in making decisions about the allocation of limited resources, specifically focusing on the interaction of supply and demand in specific markets and how different factors influence the behavior of individuals and firms. It is concerned with the study of how people and firms make decisions about production, consumption, and distribution of goods and services.

Microeconomics analyzes how supply and demand in specific markets interact to determine the prices of goods and services. It also examines how different factors, such as taxes, government regulations, and technological changes, affect the behavior of individuals and firms.

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Answer:

y = 10

Step-by-step explanation:

y = 2(2) + 6

y = 4 + 6

y = 10

Answer:

Y = 10

Step-by-step explanation:

if x = 2,

Y = 2x2 + 6

Y= 4 + 6

Y = 10

Answer:172.72

Step-by-step explanation:

68 inches = 172.72 centimeter

How to convert inches to centimeter ?

Add 2.54 centimeters to the provided inch value to convert it to centimeters. For instance, multiply 7 by 2.54 to translate from inches to centimeters.

What is centimeter ?

The International System of Units' centimeter (SI symbol cm), sometimes known as a centimeter (international spelling) or centimeter (American spelling), is a unit of length (SI),

Exactly how big is one inch?

A yard and a foot are equivalent to an inch. A metric inch is precisely 2.54 centimeters. One whole inch is made up of two half inches and four quarter inches.

what is a inch ?

The British imperial and American customary systems of measurement both use the inch as their standard unit of length (symbolised as in or ′′). It is the same as 1/36 of a yard 

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A) The DEQ x² + y² + 7xyy' = 0 is not homogeneous.

B) The DEQ x² + y² + 5xy' = 0 is homogeneous.

C) The DEQ x - y - 8xy' = 0 is not homogeneous.

D) The DEQ 2x + y = yy' is not homogeneous.

To determine if each of the given differential equations (DEQs) is homogeneous, we need to check if they satisfy the property of homogeneity, which states that all terms in the equation must have the same total degree.

A) The DEQ x² + y² + 7xyy' = 0:

The term x² has a degree of 2.

The term y² has a degree of 2.

The term 7xyy' has a degree of 2 + 1 + 1 = 4.

DEQ A is not homogeneous.

B) The DEQ x² + y² + 5xy' = 0:

The term x² has a degree of 2.

The term y² has a degree of 2.

The term 5xy' has a degree of 1 + 1 = 2.

DEQ B is homogeneous.

C) The DEQ x - y - 8xy' = 0:

The term x has a degree of 1.

The term -y has a degree of 1.

The term -8xy' has a degree of 1 + 1 = 2.

DEQ C is not homogeneous.

D) The DEQ 2x + y = yy':

The term 2x has a degree of 1.

The term y has a degree of 1.

The term yy' has a degree of 1 + 1 = 2.

DEQ D is not homogeneous.

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Answer:

THE ANSWER IS (B)

Step-by-step explanation:

Answer:

B! Because remainder means extra things in an equation. You'll learn it in the future as decimals.

Answer:

Step-by-step explanation:

Given that:

OA = 7 cm, AB = 6 cm. ∠A = 90°, OA = OC = 7 cm

Using Pythagoras theorem: OB² = OA² + AB²

OB² = 6² + 7²=85

OB = √85 = 9.22 cm

to find ∠O, we use sine rule:

\(\frac{AB}{sin(O)}=\frac{OB}{sin(A)}\\ \\sin(O)=\frac{AB*sin(A)}{OB}=\frac{6*sin(90)}{9.22} =0.65 \\\\O=sin^{-1}0.65=40.6^o\)

AOC is a minor sector with radius 7 cm and angle 40.6

The Area of the triangle OAB = 1/2 × base × height = 1/2 × OA × AB = 1/2 × 7 × 6 = 21 cm²

Area of sector OAC = \(\frac{\theta}{360}*\pi r^2=\frac{40.6}{360}*\pi *7^2=17.37 \ cm^2\)

Area of shaded region = The Area of the triangle OAB - Area of sector OAC = 21 - 17.37 = 3.63 cm²

Perimeter of arc AC = \(\frac{\theta}{360}*2\pi r=\frac{40.6}{360}*2\pi *7=4.96\ cm\)

CB = OB - OC = 9.22 - 7 = 2.22

Perimeter of shaded region = AB + CB + arc AC = 6 + 2.22 + 4.96 = 13.18 cm

QUESTION 1

the wrong statement is:

c. The variance of X is 0.9.

QUESTION 2

The correct answer is:

c. 84.

QUESTION 4

The correct answer is:

b. 0.011% (rounded to the nearest percent).

QUESTION 7

The closest answer is:

d. 18.41%.

QUESTON 9

the wrong statement is:

c. As the probability of success, p, increases, the variance of a binary distribution decreases.

QUESTION 10

The correct answer is:

b. 0.04% (rounded to the nearest percent).

Question 1:

c. The variance of X is 0.9. - This statement is incorrect. The variance of a binomial random variable is given by the product of the number of trials (n), the probability of success (p), and the probability of failure (1-p). So in this case, it would be 10 * 0.9 * (1-0.9) = 0.81.

Question 2:

An ice cream shop has 9 flavors. One can choose 3 different flavors. What is the total number of possible flavor combinations?

To calculate the total number of possible combinations, we use the formula for combinations: nCr = n! / (r!(n-r)!), where n is the total number of items and r is the number of items chosen.

In this case, n = 9 (total flavors) and r = 3 (chosen flavors).

Using the formula, we have:

9C3 = 9! / (3!(9-3)!) = 9! / (3!6!) = (9 * 8 * 7) / (3 * 2 * 1) = 84.

Therefore, the total number of possible flavor combinations is 84.

Question 4:

5 members of the Avengers - Captain America, Iron Man, Hulk, Thor, and Spider-Man - got tested for the coronavirus. Suppose that their test results are independent of each other. The probability of an Avenger getting a positive result is 25%. What is the probability that Captain America and Iron Man get negative results, but Hulk, Thor, and Spider-Man get positive results?

Since the test results are independent for each Avenger, we can simply multiply the probabilities of each event occurring.

The probability of Captain America and Iron Man getting negative results is (1 - 0.25) * (1 - 0.25) = 0.75 * 0.75 = 0.5625.

The probability of Hulk, Thor, and Spider-Man getting positive results is 0.25 * 0.25 * 0.25 = 0.015625.

To find the probability of both events occurring, we multiply the probabilities: 0.5625 * 0.015625 = 0.0087890625.

Question 7:

An official from the securities commission estimates that 70% of all online bankers have profited from the use of insider information. Assume that 15 online bankers are selected at random from the commission's registry. Find the probability that 12 or fewer online bankers have profited from insider information.

Let X be the number of online bankers who have profited from insider information. Using the binomial probability formula, we can calculate the probability for each value of X from 0 to 12 and sum them up.

P(X ≤ 12) = P(X = 0) + P(X = 1) + ... + P(X = 12)

The closest answer is:

d. 18.41%.

Question 9:

a. As the probability of success, p, increases, the mean of a binary distribution increases. - This statement is correct because the mean of a binary distribution is equal to the probability of success, p.

Ob. A binomial distribution is based on a sequence of independent binary experiments. - This statement is correct because a binomial distribution is indeed based on a sequence of independent binary experiments, where each experiment can have two possible outcomes: success or failure.

c. As the probability of success, p, increases, the variance of a binary distribution decreases. - This statement is incorrect. The variance of a binary distribution is equal to p(1-p), and it reaches its maximum value of 0.25 when p = 0.5.

d. As the number of repetitions, n, increases, the variance of a binomial distribution increases. - This statement is correct. The variance of a binomial distribution increases as the number of repetitions increases, following the formula np(1-p).

e. The binary distribution has one parameter, but the binomial distribution has two parameters. - This statement is incorrect. The binary distribution has one parameter (p), while the binomial distribution has two parameters (n and p).

Question 10:

Each NBA team can have 15 players on their roster. But only 13 players can be active each game. If 3 or more players are injured, the team cannot fill the active roster slots. Suppose that the probability that a player got injured is 4%, and that injuries are statistically independent across players. What is the probability that 3 players of the 15 players on the roster are injured?

We can model this situation using the binomial distribution, where the number of trials (n) is 15 (total players on the roster) and the probability of success (p) is 0.04 (probability of a player getting injured).

We want to find the probability of exactly 3 successes (players injured). Using the binomial probability formula, we have:

P(X = 3) = (15 choose 3) * (0.04)^3 * (1 - 0.04)^(15 - 3)

P(X = 3) ≈ 0.036657

To express this probability as a percentage, we multiply by 100:

P(X = 3) ≈ 3.6657%

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